Restricted range simultaneous approximation and interpolation with preservation of the norm

DOI10.5802/ambp.33zbMath0832.46071OpenAlexW2032414931MaRDI QIDQ1898757

João B. Prolla, Samuel Navarro

Publication date: 11 March 1996

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1995__2_1_225_0

zbMATH Keywords

complete non-Archimedean non-trivially valued division ringinterpolating familyrestricted range polynomial algebrasring of all continuous functionssimultaneous approximation and interpolation with preservation of the normvon Neumann subsets

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Interpolation in approximation theory (41A05)

Cites Work

• Unnamed Item
• The Weierstrass-Stone theorem in absolute valued division rings
• A short elementary proof of the Bishop–Stone–Weierstrass theorem
• On von neumann's variation of the weierstrass-stone theorem
• A Variation on the Stone-Weierstrass Theorem
• Topological Rings
• The Weierstrass Theorem in Fields with Valuations

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